Question

If Alice and Finn roll two number cubes. Which of the following rules will make the game fair?

1Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
2Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
3Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
4Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answer 1

Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.

Explanation:

Answer 2

Answer: Option A is correct.

Explanation:

Since we have given that

Number of cubes Alice and Finn roll = 2

Sum of dices has outcome of 7 as the highest probability.

So,when, we move away from the probability gets equal.

Let A: Event of getting a total of 5.

Let B : Event of getting a total of 9.

So,
`A=\{(2,3),(3,2),(4,1),(1,4)\}`

And
`B=\{(5,4),(5,4),(6,3),(3,6)\}`

so, Probability of getting event A and B respectively.

`P(A)=(4)/(36)=(1)/(9)\\\\and\\\\P(B)=(4)/(36)=(1)/(9)`

So, the game will make fair as both have equal possibility to win.

Hence, Option A is correct.